Search a number
-
+
210123223332120 = 2332571927116193869
BaseRepresentation
bin101111110001101100100000…
…000101011111010100011000
31000112222120202201022011022100
4233301230200011133110120
5210020124330133111440
62022521135354123400
762154621233012220
oct5761544005372430
91015876681264270
10210123223332120
1160a5183874062a
121b697356420560
1390326c534c277
1439c60381d9080
151945bc1e44230
hexbf1b2015f518

210123223332120 has 384 divisors, whose sum is σ = 824565950208000. Its totient is φ = 45332466324480.

The previous prime is 210123223332079. The next prime is 210123223332137. The reversal of 210123223332120 is 21233322321012.

210123223332120 is a `hidden beast` number, since 2 + 1 + 0 + 1 + 2 + 322 + 3 + 332 + 1 + 2 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4878546 + ... + 21072414.

It is an arithmetic number, because the mean of its divisors is an integer number (2147307162000).

Almost surely, 2210123223332120 is an apocalyptic number.

210123223332120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210123223332120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412282975104000).

210123223332120 is an abundant number, since it is smaller than the sum of its proper divisors (614442726875880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

210123223332120 is a wasteful number, since it uses less digits than its factorization.

210123223332120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16194183 (or 16194176 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 210123223332120 its reverse (21233322321012), we get a palindrome (231356545653132).

The spelling of 210123223332120 in words is "two hundred ten trillion, one hundred twenty-three billion, two hundred twenty-three million, three hundred thirty-two thousand, one hundred twenty".